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Finding the Fourth Proportional to 6,958.72, 10,440.96 and 3,880

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Solution

The fourth proportional to 6,958.72, 10,440.96 and 3,880 is: 5,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.72 : 10,440.96 = 3,880 : x
  2. Step 2: Convert to fraction form
    6,958.72/10,440.96 = 3,880/x
  3. Step 3: Cross multiply
    6,958.72x = 10,440.96 × 3,880
  4. Step 4: Simplify right side
    6,958.72x = 40,510,924.80
  5. Step 5: Solve for x
    x = 40,510,924.80/6,958.72
  6. Step 6: Final answer
    x = 5,821.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.